Results 51 to 60 of about 4,766,720 (102)
Leray–Schauder Alternatives for Maps Satisfying Countable Compactness Conditions
In this paper we present Leray–Schauder alternatives for a general class of Mönch type maps.
O’Regan Donal
doaj +1 more source
In this article, a definition of a b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-best approximations of b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-hypermetric spaces over Banach algebras is given. Our objective is to prove the concept of extension
Nezhad Akbar Dehghan+3 more
doaj +1 more source
An Introduction to C∗‐Algebra‐Valued Metric‐Like Space With Related Applications
It is well‐known that the main objective of metric‐like spaces is to pave way for the development of fixed point results in nonstandard framework, such as in nonsymmetric distance structures, where self‐distances might be nonzero. This objective becomes more achievable when the range set of the distance function is a C∗‐algebra. Unfortunately, the idea
Zulaihatu Tijjani Ahmad+5 more
wiley +1 more source
Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces
We shall consider the behaviour of Ishikawa iteration with errors in a uniformly convex Banach space. Then we generalize the two theorems of Tan and Xu without the restrictions that C is bounded and limsupnsn < 1.
Deng Lei, Li Shenghong
wiley +1 more source
Matkowski theorems in the context of quasi-metric spaces and consequences on G-metric spaces
In this paper, we prove the characterization of a Matkowski's theorem in the setting of quasi-metric spaces.
Karapιnar Erdal+2 more
doaj +1 more source
Coupled and tripled coincidence point results without compatibility
In this article, we introduce a new and simple approach to coupled and tripled coincidence point theory. By using our method, we establish coupled coincidence point results of Lakshmikantham and Ćirić, Binayak et al., Alotaibi and Alsulami without any ...
N. Hussain+2 more
semanticscholar +1 more source
In this study, we introduce a novel class of mappings called orthogonal extended interpolative enriched Ćirić–Reich–Rus type ψF‐contractions and establish fixed‐point results within the framework of orthogonal complete convex extended b‐metric spaces. The unique fixed point is approximated using a Krasnoselskii‐type iterative method. To demonstrate the
Shivani Kukreti+4 more
wiley +1 more source
Fixed Point Index for Simulation Mappings and Applications
In this paper, we construct the fixed point index for a class of contractive mapping defined by a simulation mapping and a measure of noncompact-ness noted by Zµ− contraction maps.
Benmezaï Abdelhamid+2 more
doaj +1 more source
On Almost (α, θρ)‐Contractions on Quasimetric Space and Their Fixed Points
In this paper, we introduce the concept of almost (α, θρ)‐contraction mappings on quasimetric spaces. Then, under certain conditions, we present some fixed‐point results for almost (α, θρ)‐contraction mappings with respect to ω and γ on both left K‐complete and left M‐complete quasimetric spaces.
Gonca Durmaz Güngör+4 more
wiley +1 more source
KKM and KY fan theorems in modular function spaces
In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
Latif Abdul+2 more
doaj